Which system of inequalities represents the graph?

The solid line is described by the equation

... 3x +5y = 10

The shaded portion of the graph is below that line, so you expect something like

... 3x +5y ≤ 10

This matches the 1st and 3rd selections.

The steepest line has an equation like

... 5x +y = 6

The line is dashed and the shading is to the right of it, so you expect something like

... 5x +y > 6.

This matches the 2nd and 3rd selections.

The appropriate selection is the 3rd selection.

there is no grid

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)